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Input-to-State Practical Partial h-stability of Nonlinear Non-autonomous Systems

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Abstract

In this paper, we investigate the h-stability analysis with respect to part of the variables of nonlinear non-autonomous systems. With the help of the notion of practical h-stable functions, input-to-state practical partial h-stability (h-ISppS), integral input-to-state practical partial h-stability (h-iISppS) and practical partial h-stability are considered. Moreover, some sufficient Lyapunov-like conditions are derived to check the partial input-to-state practical h-stability of two important classes of nonlinear systems, namely perturbed and cascaded systems. Furthermore, two numerical examples are given to illustrate the effectiveness and the superiority of the results.

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Acknowledgements

The authors would like to thank the associate editor and the anonymous reviewers for their constructive comments and suggestions which improved the quality of the paper.

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  1. Department of Mathematics, University of Sfax, Road of Soukra, BP1171, 3000, Sfax, Tunisia

    Hanen Damak, Nizar Hadj Taieb & Mohamed Ali Hammami

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  1. Hanen Damak
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  2. Nizar Hadj Taieb
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  3. Mohamed Ali Hammami
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Correspondence to Hanen Damak.

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Damak, H., Hadj Taieb, N. & Hammami, M.A. Input-to-State Practical Partial h-stability of Nonlinear Non-autonomous Systems. Circuits Syst Signal Process 42, 3854–3872 (2023). https://doi.org/10.1007/s00034-023-02313-6

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